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Finding the Fourth Proportional to 1,661.31, 2,491.84 and 1,199.92

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Solution

The fourth proportional to 1,661.31, 2,491.84 and 1,199.92 is: 1,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.31 : 2,491.84 = 1,199.92 : x
  2. Step 2: Convert to fraction form
    1,661.31/2,491.84 = 1,199.92/x
  3. Step 3: Cross multiply
    1,661.31x = 2,491.84 × 1,199.92
  4. Step 4: Simplify right side
    1,661.31x = 2,990,008.65
  5. Step 5: Solve for x
    x = 2,990,008.65/1,661.31
  6. Step 6: Final answer
    x = 1,799.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.